# Speed limits on classical chaos

@inproceedings{Das2021SpeedLO, title={Speed limits on classical chaos}, author={Swetamber Das and Jason R. Green}, year={2021} }

Uncertainty in the initial conditions of dynamical systems can cause exponentially fast divergence of trajectories, a signature of deterministic chaos. Here, we derive a classical uncertainty relation that sets a speed limit on the rates of local observables underlying this behavior. For systems with a time-invariant stability matrix, this general speed limit simplifies to classical analogues of the Mandelstam-Tamm versions of the time-energy uncertainty relation. This classical bound derives…

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